LINEAR ALGEBRA AND DIFFERANTIAL EQUATIONS WITH MAPLE
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Course Title:
LINEAR ALGEBRA AND DIFFERANTIAL EQUATIONS WITH MAPLE
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Course Code:
BMB3047
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Type of Course:
Optional
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Level of Course:
First Cycle
5
Year of Study:
3
6
Semester:
5
7
ECTS Credits Allocated:
5
8
Theoretical (hour/week):
3
9
Practice (hour/week) :
0
10
Laboratory (hour/week) :
0
11
Prerequisites:
None
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Recommended optional programme components:
None
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Language:
Turkish
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Mode of Delivery:
Face to face
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Course Coordinator:
Prof. Dr. BASRİ ÇELİK
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Course Lecturers:
Yrd.Doç.Dr. Nisa ÇELİK
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Contactinformation of the Course Coordinator:
basri@uludag.edu.tr 0224.2941762
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Website:
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Objective of the Course:
Finds the solutions of differential equations and the solutions of some basic problems on linear algebra by using the Maple program.
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Contribution of the Course to Professional Development
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Learning Outcomes:
1
Calculates the vectoral operations and plots the graphics of them.;
2
Finds the lines and planes equations using vectors with Maple.;
3
Use the method Gram-Schmidt.;
4
Creates the orthogonal base using Gram-Schmidt’s method for giving any base with Maple.;
5
Learns to calculating the matrix operations and solving the linear equations system with Maple.;
6
Finds the type-class of differential equations with Maple.;
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Solves differential equations of first order and first degree. ;
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Solves the differential equations of high-order and constant coefficients using Maple.;
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Course Content:
Week
Theoretical
Practical
1
Description of course.
2
A short information about Maple.
3
Vectoral operations and its graphics with Maple.
4
Line and plane equations using vectors with Maple.
5
Orthogonal bases using Gram-Schmidt’s method with Maple.
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Matrices, matrix operations and inverse matrix with Maple.
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Linear equations system with Maple.
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Differential and differential operator in Maple. Type-class of differential equations in Maple.
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Midterm and feedback
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Differential equations of first order and first degree with Maple.
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Solutions of first ordered differential equations of higher degree with Maple.
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Solutions linear differential equations of higher order with Maple.
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Solutions differential equations of constant coefficient with Maple.
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Some examples.
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Textbooks, References and/or Other Materials:
1)Maple ve Maple ile Matematik, Basri Çelik, Dora Yayınevi, 2.baskı, 2010, Bursa. 2)Adi Diferensiyel Denklemler, Mehmet Çağlıyan, Nisa Çelik, Setenay Doğan, Dora Yayıncılık, 3.baskı, 2010, Bursa.
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Assesment
TERM LEARNING ACTIVITIES
NUMBER
PERCENT
Midterm Exam
1
40
Quiz
0
0
Homeworks, Performances
0
0
Final Exam
1
60
Total
2
100
Contribution of Term (Year) Learning Activities to Success Grade
40
Contribution of Final Exam to Success Grade
60
Total
100
Measurement and Evaluation Techniques Used in the Course
Information
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ECTS / WORK LOAD TABLE
Activites
NUMBER
TIME [Hour]
Total WorkLoad [Hour]
Theoretical
14
3
42
Practicals/Labs
0
0
0
Self Study and Preparation
14
4
56
Homeworks, Performances
0
0
0
Projects
0
0
0
Field Studies
0
0
0
Midtermexams
1
4
4
Others
14
3
42
Final Exams
1
6
6
Total WorkLoad
150
Total workload/ 30 hr
5
ECTS Credit of the Course
5
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CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
